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Symmetry : a mathematical exploration

Author: Kristopher Tapp
Publisher: New York : Springer Science+Business Media, LLC, ©2012.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This textbook is perfect for a math course for non-math majors, with the goal of encouraging effective analytical thinking and exposing students to elegant mathematical ideas. It includes many topics commonly found in sampler courses, like Platonic solids, Euler's formula, irrational numbers, countable sets, permutations, and a proof of the Pythagorean Theorem. All of these topics serve a single compelling goal:  Read more...
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Document Type: Book
All Authors / Contributors: Kristopher Tapp
ISBN: 9781461402985 1461402980 9781461402992 1461402999
OCLC Number: 775663787
Description: xiv, 215 pages : color illustrations ; 25 cm
Contents: Introduction to symmetry --
The algebra of symmetry --
Isomorphism --
The classification theorems --
Subgroups and product groups --
Permutations --
Symmetries of solid objects --
The five Platonic solids --
Symmetry and optimization --
What is a number? --
Cantor's infinity --
Euclidean space --
Symmetry and matrices.
Responsibility: Kristopher Tapp.

Abstract:

Symmetry is an ideal topic for a one-semester math course for non-math majors, particularly in the humanities. This text encourages effective analytical thinking and exposes students to elegant  Read more...

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From the reviews:"The author starts with a very concrete introduction to symmetry in the plane, using rigid motions for a definition. ... The book can serve very well as an introduction to algebraic Read more...

 
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